====== Thomas Zaslavsky (Binghamton) ======

====== Quasigroups via Graphs ======

===== Abstract for the Combinatorics and Algebra Seminars 2008 September 16 =====

A quasigroup is essentially a group without associativity. An n-ary quasigroup is a generalization from 2 to n independent variables. I will explain how indecomposability of biased graphs explains decomposition of n-ary quasigroups, and vice versa. There are many open questions.


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